Approximation algorithms for graph augmentation
Journal of Algorithms
On the optimal vertex-connectivity augmentation
Journal of Combinatorial Theory Series B
Approximation algorithms for finding highly connected subgraphs
Approximation algorithms for finding highly connected subgraphs
Improved approximation algorithms for uniform connectivity problems
Journal of Algorithms
A representation for crossing set families with applications to submodular flow problems
SODA '93 Proceedings of the fourth annual ACM-SIAM Symposium on Discrete algorithms
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The problem of finding a minimum-weight augmenting edge-set to make a graph 3-vertex connected is considered. This problem is known to be NP-complete. We present a new 3-approximation algorithm for making an arbitrary graph 3-vertex connected. Our algorithm is simpler and faster than the previously known 3-approximation algorithm by a factor of O(n^2), where n is the number of vertices of the graph. We also consider the problem of increasing the vertex-connectivity of a 2-connected graph from 2 to 3.